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127814519136 = 2534132473201
BaseRepresentation
bin111011100001001010…
…1101100100101100000
3110012220121120022111010
41313002111230211200
54043231004103021
6134414524420520
712143235326013
oct1670225544540
9405817508433
10127814519136
114a229a66aa7
12209309a7740
13c08c1879a5
14628712b37a
1534d1063976
hex1dc256c960

127814519136 has 48 divisors (see below), whose sum is σ = 343696369968. Its totient is φ = 41565696000.

The previous prime is 127814519123. The next prime is 127814519141. The reversal of 127814519136 is 631915418721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16232665 + ... + 16240536.

It is an arithmetic number, because the mean of its divisors is an integer number (7160341041).

Almost surely, 2127814519136 is an apocalyptic number.

127814519136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127814519136 is an abundant number, since it is smaller than the sum of its proper divisors (215881850832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127814519136 is a wasteful number, since it uses less digits than its factorization.

127814519136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32473255 (or 32473247 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The spelling of 127814519136 in words is "one hundred twenty-seven billion, eight hundred fourteen million, five hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 32473201 64946402 97419603 129892804 194839206 259785608 389678412 519571216 779356824 1039142432 1331401241 1558713648 2662802482 3117427296 3994203723 5325604964 7988407446 10651209928 15976814892 21302419856 31953629784 42604839712 63907259568 127814519136